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Finding the Third Proportional to 151.52 and 243.07

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Solution

The third proportional to 151.52 and 243.07 is: 389.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.52 : 243.07 = 243.07 : x
  2. Step 2: Convert to fraction form
    151.52/243.07 = 243.07/x
  3. Step 3: Cross multiply
    151.52x = 243.07 × 243.07
  4. Step 4: Simplify right side
    151.52x = 59,083.18
  5. Step 5: Solve for x
    x = 59,083.18/151.52
  6. Step 6: Final answer
    x = 389.93

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.